Journal ArticleDOI
A continuum method for modeling surface tension
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In this paper, a force density proportional to the surface curvature of constant color is defined at each point in the transition region; this force-density is normalized in such a way that the conventional description of surface tension on an interface is recovered when the ratio of local transition-reion thickness to local curvature radius approaches zero.About:
This article is published in Journal of Computational Physics.The article was published on 1992-06-01. It has received 7863 citations till now. The article focuses on the topics: Capillary surface & Capillary length.read more
Citations
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Journal ArticleDOI
On the computation of viscous terms for incompressible two-phase flows with Level Set/Ghost Fluid Method
TL;DR: A detailed analysis of the computation of the viscous terms for the simulation of incompressible two-phase flows in the framework of Level Set/Ghost Fluid Method when viscosity is discontinuous across the interface is presented.
Book ChapterDOI
Perspective on Eulerian Finite Volume Methods for Incompressible Interfacial Flows
TL;DR: In this article, the authors focus on finite volume methods of discretization for the partial differential equations manifesting the physical model of incompressible interfacial flows, i.e., flows possessing multiple distinct, immiscible fluids separated by interfaces of arbitrarily complex topology.
Journal ArticleDOI
Simulation of liquid transfer between separating walls for modeling micro-gravure-offset printing
TL;DR: In this paper, a numerical study of the liquid transfer processes that occur during micro-gravure-offset printing is carried out, where liquid transfer between two parallel separating plates and between a trapezoidal cavity and an upward moving plate are simulated.
Journal ArticleDOI
Design and optimization of rotating triboelectric nanogenerator by water electrification and inertia
Taehun Kim,Jihoon Chung,Dae Yun Kim,Joo Hyun Moon,Sukyung Lee,Minhaeng Cho,Seong Hyuk Lee,Sangmin Lee +7 more
TL;DR: In this paper, the authors proposed a rotating water triboelectric nanogenerator (TENG) based on water-electrification and rotating fluid inertia, which is a fully packaged design composed of partially filled cylinder and gear systems.
Journal ArticleDOI
Finite Element Discretization Error Analysis of a Surface Tension Force in Two-Phase Incompressible Flows
Sven Gross,Arnold Reusken +1 more
TL;DR: This work considers a standard model for a stationary two-phase incompressible flow with surface tension and derives sharp bounds for the approximation error based on a Laplace-Beltrami representation of the curvature.
References
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Journal ArticleDOI
Volume of fluid (VOF) method for the dynamics of free boundaries
C.W Hirt,B. D. Nichols +1 more
TL;DR: In this paper, the concept of a fractional volume of fluid (VOF) has been used to approximate free boundaries in finite-difference numerical simulations, which is shown to be more flexible and efficient than other methods for treating complicated free boundary configurations.
Book
An Introduction to Fluid Dynamics
TL;DR: The dynamique des : fluides Reference Record created on 2005-11-18 is updated on 2016-08-08 and shows improvements in the quality of the data over the past decade.
Book
A practical guide to splines
TL;DR: This book presents those parts of the theory which are especially useful in calculations and stresses the representation of splines as linear combinations of B-splines as well as specific approximation methods, interpolation, smoothing and least-squares approximation, the solution of an ordinary differential equation by collocation, curve fitting, and surface fitting.
Journal ArticleDOI
An Introduction to Fluid Dynamics. By G. K. Batchelor. Pp. 615. 75s. (Cambridge.)
TL;DR: In this paper, the Navier-Stokes equation is derived for an inviscid fluid, and a finite difference method is proposed to solve the Euler's equations for a fluid flow in 3D space.
Journal ArticleDOI
Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface
Francis H. Harlow,J. Eddie Welch +1 more
TL;DR: In this paper, a new technique is described for the numerical investigation of the time-dependent flow of an incompressible fluid, the boundary of which is partially confined and partially free The full Navier-Stokes equations are written in finite-difference form, and the solution is accomplished by finite-time step advancement.
Related Papers (5)
A level set approach for computing solutions to incompressible two-phase flow
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Stanley Osher,James A. Sethian +1 more